Skip to main content
Log in

The geometry of moving stellar configurations and the dating of theAlmagest

  • Published:
Journal of Soviet Mathematics Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literature cited

  1. C. H. F. Peters, and E. B. Knobel,Ptolemy's Catalogue of Stars. A Revision of the Almagest, The Carnegie Institute of Washington (1915).

  2. V. B. Gurevich,Introduction to Spherical Astronomy [in Russian], Nauka, Moscow (1978).

    Google Scholar 

  3. R. Newton,The Crime of Claudius Ptolemy, Johns Hopkins University Press, Baltimore (1977).

    Google Scholar 

  4. S. N. Blazhko,A Course of Practical Astronomy [in Russian], Nauka, Moscow (1979).

    Google Scholar 

  5. Yu. A. Karpenko,Celestial Names [in Russian], Nauka, Moscow (1981).

    Google Scholar 

  6. H. Kinoshita,Formulas for Precession, Smithsonian Inst. Astrophys. Obs., Cambridge, MA, February 28, 1975.

    Google Scholar 

  7. W. Fricke and A. Koff,FK4, Veroff. Astr. Inst. Heidelberg, No. 10 (1963).

  8. F. Bailey, “The catalogues of Ptolemy, Ulugh Beigh, Tycho Brahe, Halley, and Hevelius, deduced from the best authorities,”Roy. Astr. Soc. Memoirs,XIII, 1–248 (1843).

    Google Scholar 

  9. N. A. Morozov,Christ [in Russian], Vol. 4, GIZ, Moscow-Leningrad (1928),

    Google Scholar 

  10. A. T. Fomenko, “On the properties of the second derivative of the lunar elongation and the statistical regularities connected with it,”Vopr. Vych. Prik. Mat, Sovet Akad. Nauk Uzb. SSR, No. 63, 136–150 (1981).

    Google Scholar 

  11. A. T. Fomenko, “The jump of the second derivative of the Moon's elongation,”Celestial Mechanics,29, 33–40 (1981).

    Google Scholar 

  12. A. T. Fomenko, “Computation of the second derivative of the lunar elongation and the statistical regularities in the distribution of certain astronomical data,”Issled. Oper. ASU, Kiev Univ. Press, No. 20, 98–113 (1982).

    Google Scholar 

  13. A. T. Fomenko, “A new empirical-statistical method of arranging texts and applications to dating problems,”Dokl. Akad. Nauk SSSR,268, No. 6, 1322–1327 (1983).

    Google Scholar 

  14. A. T. Fomenko, “A method of detecting duplicates and certain applications,”Dokl. Akad. Nauk SSSR,258, No. 6, 1326–1330 (1981).

    Google Scholar 

  15. A. T. Fomenko, “New empirico-statistical dating methods and statistics of certain astronomical data,” in:Proceedings of the First World Congress of the Bernoulli Society of Mathematical Statistics and Probability Theory, Vol. 2, Nauka, Moscow (1986), p. 892.

    Google Scholar 

  16. A. T. Fomenko, “A new empirical-statistical method of detecting parallelisms and dating duplicates,”Probl. Ustoich. Stokh. Mod: Tr. Sem., 154–177, VNIISI, Moscow (1984).

    Google Scholar 

  17. A. T. Fomenko, “Detecting dependences and stratified structures in narrative texts,”Probl. Ustoich. Stokh. Mod: Tr. Sem., 115–128, VNIISI, Moscow (1987).

    Google Scholar 

  18. A. T. Fomenko, “New experimental-statistical methods of dating ancient events and applications to the global chronology of the ancient and medieval world,” Preprint: Gos. Kom. Telev. Radio., No. B7201 (1981).

  19. Yu. N. Efremov and E. D. Pavlovskaya, “Dating of theAlmagest by the proper motions of stars,”Dokl. Akad. Nauk,294, No. 2, 310–313 (1987).

    Google Scholar 

Download references

Authors

Additional information

Translated fromProblemy Ustoichivosti Stokhasticheskikh Modelei. Trudy Seminara, 1988, pp. 59–78.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kalashnikov, V.V., Nosovskii, G.V. & Fomenko, A.T. The geometry of moving stellar configurations and the dating of theAlmagest . J Math Sci 57, 3246–3263 (1991). https://doi.org/10.1007/BF01099024

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01099024

Keywords

Navigation